2006/02/13 by Tristan Brunier, T. Brunier, Francis Bernardeau +1 · 1 citation
Mathematics · Physics and Astronomy · #Anisotropy #Bispectrum #Correlation function (quantum field theory) #Cosmic microwave background #Cosmology and Gravitation Theories #Function (biology) #Galaxies: Formation, Evolution, Phenomena #Gaussian #Mathematical analysis #Mathematics #Metric (unit) #Non-Gaussianity #Physics #Quantum mechanics #Scientific Research and Discoveries #Sign (mathematics) #Spectral density #Statistical physics #Statistics #Trispectrum #astro-ph
paper · pdf · doi:10.1103/physrevd.73.083524
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 73(8) (American Physical Society) · 31 pages, 17 figures, submitted to Phys. Rev. D
arxiv created 2006/02/13 · openalex publication_date 2006/04/24 · arxiv updated 2011/01/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present a phenomenological investigation of non-Gaussian effects that could be seen on CMB temperature maps. Explicit expressions for the temperature correlation functions are given for different types of primordial mode couplings. We argue that a simplified description of the radial transfer function for the temperature anisotropies allows one to get insights into the general properties of the bispectrum and trispectrum. The accuracy of these results is explored together with the use of the small scale approximation to get explicit expressions of high order spectra. The bispectrum is found to have alternate signs for the successive acoustic peaks. Sign patterns for the trispectrum are more complicated and depend specifically on the type of metric couplings. Local primordial couplings are found to give patterns that are different from those expected from weak lensing effects.